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Solution of convection-diffusion model in groundwater pollution

التفاصيل البيبلوغرافية
العنوان: Solution of convection-diffusion model in groundwater pollution
المؤلفون: Jalil Rashidinia, Arefeh Momeni, Mahboubeh Molavi-Arabshahi
المصدر: Scientific Reports, Vol 14, Iss 1, Pp 1-14 (2024)
بيانات النشر: Nature Portfolio, 2024.
سنة النشر: 2024
المجموعة: LCC:Medicine
LCC:Science
مصطلحات موضوعية: Medicine, Science
الوصف: Abstract This research involves the development of the spectral collocation method based on orthogonalized Bernoulli polynomials to the solution of time-fractional convection-diffusion problems arising from groundwater pollution. The main aim is to develop the operational matrices for the fractional derivative and classical derivatives. The advantage of our approach is to orthogonalize the Bernoulli polynomials for the sake of creating sparse operational matrices in such a way that classical derivatives have one sub-diagonal non-zero entries only, and also creating an operational matrix for fractional derivative have diagonal matrix only. Due to these properties, the cost of computational our approach is very low and the convergence is fast. A discussion on the error analysis for the presented approach is given. Two test problems are considered to illustrate the effectiveness and applicability of our method. The absolute error in the computed solution compares with the existing method in the literature. The comparison shows that our method is more accurate and easily implemented.
نوع الوثيقة: article
وصف الملف: electronic resource
اللغة: English
تدمد: 2045-2322
Relation: https://doaj.org/toc/2045-2322
DOI: 10.1038/s41598-024-52393-w
URL الوصول: https://doaj.org/article/3e6bc5b0acc54164a1ea4061ecaf9d2c
رقم الأكسشن: edsdoj.3e6bc5b0acc54164a1ea4061ecaf9d2c
قاعدة البيانات: Directory of Open Access Journals
الوصف
تدمد:20452322
DOI:10.1038/s41598-024-52393-w